The little book of big primes [WorldCat Entities]

"Little book of bigger primes"

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"A deep understanding of prime numbers is one of the great challenges in mathematics.; In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets.; The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers.; Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Polya Award of the Mathematical Association of America.; He is the author of 13 books and more than 150 research articles.; From the reviews of the First Edition:Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material.; There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas."
"A deep understanding of prime numbers is one of the great challenges in mathematics. In this book, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Plya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. - Andrew Granville, Zentralblatt Ribenboim is a rare creature - an academic who writes in an unstuffy way - and his book gives an overview of what is currently known about primes. - Robert Matthews, The Sunday Telegraph This genially reader-friendly tour de force, by a scientist with an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyones bookshelf. - John H. Halton, American Scientist."@en
"This book could have been called "Selections from the Book of Prime Number Records." However, I prefered the title which propelled you on the first place to open it, and perhaps (so I hope) to buy it! Richard K. Guy, with his winning ways, suggested the title to me, and I am grateful. But the book isn't very different from its parent. Like a bonsai, which has all the main characteristics of the full-sized tree, this little paperback should exert the same fatal attraction. I wish it to be as dangerous as the other one, in the saying of John Brillhart. I wish that you, young student, teacher or retired mathematician, engineer, computer buff, all of you who are friends of numbers, to be driven into thinking about the beautiful theory of prime numbers, with its inherent mystery. I wish you to exercise your brain and fingers-not vice-versa. But I do not wish you, specialist in number theory to look at this little book-most likely you have been eliminated from this shorter version-what a terrible feeling. But do not cry, you had your book already. This one is for those who will be taking over and should put their steps forward, mostly little, occasionally giant, to develop the science of numbers. Paulo Ribenboim Contents Preface vii Guiding the Reader xii Index of Notations xiii Introduction 1 1 How Many Prime Numbers Are There? 3 I. Euclid's Proof .. 3 11. Kummer's Proof 4 II. P6lya's Proof . ."